Pathak, Pramod K.; Qualls, Clifford A law of iterated logarithm for stationary Gaussian processes. (English) Zbl 0273.60016 Trans. Am. Math. Soc. 181, 185-193 (1973). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 11 Documents MSC: 60F10 Large deviations 60F20 Zero-one laws 60G10 Stationary stochastic processes 60G17 Sample path properties 60G15 Gaussian processes PDF BibTeX XML Cite \textit{P. K. Pathak} and \textit{C. Qualls}, Trans. Am. Math. Soc. 181, 185--193 (1973; Zbl 0273.60016) Full Text: DOI OpenURL References: [1] W. Feller, The fundamental limit theorems in probability, Bull. Amer. Math. Soc. 51 (1945), 800 – 832. · Zbl 0060.28702 [2] W. Feller, The general form of the so-called law of the iterated logarithm, Trans. Amer. Math. Soc. 54 (1943), 373 – 402. · Zbl 0063.08417 [3] Pramod K. Pathak and Clifford Qualls, A law of iterated logarithm for stationary Gaussian processes, Trans. Amer. Math. Soc. 181 (1973), 185 – 193. · Zbl 0273.60016 [4] James Pickands III, An iterated logarithm law for the maximum in a stationary Gaussian sequence, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete 12 (1969), 344 – 353. · Zbl 0181.20703 [5] James Pickands III, Upcrossing probabilities for stationary Gaussian processes, Trans. Amer. Math. Soc. 145 (1969), 51 – 73. · Zbl 0206.18802 [6] James Pickands III, Asymptotic properties of the maximum in a stationary Gaussian process., Trans. Amer. Math. Soc. 145 (1969), 75 – 86. · Zbl 0206.18901 [7] Clifford Qualls and Hisao Watanabe, An asymptotic 0-1 behavior of Gaussian processes, Ann. Math. Statist. 42 (1971), 2029 – 2035. · Zbl 0239.60031 [8] Clifford Qualls and Hisao Watanabe, Asymptotic properties of Gaussian processes, Ann. Math. Statist. 43 (1972), 580 – 596. · Zbl 0247.60031 [9] C. Qualls, G. Simmons and H. Watanabe, A note on a \( 0-1\) law for stationary Gaussian processes, Mimeo Series #798, Inst. of Statistics, University of North Carolina, Raleigh, N. C., 1972. [10] Clifford Qualls and Hisao Watanabe, Asymptotic properties of Gaussian random fields, Trans. Amer. Math. Soc. 177 (1973), 155 – 171. · Zbl 0274.60030 [11] Hisao Watanabe, An asymptotic property of Gaussian processes. I, Trans. Amer. Math. Soc. 148 (1970), 233 – 248. · Zbl 0214.16502 [12] Antoni Zygmund, Trigonometrical series, Chelsea Publishing Co., New York, 1952. 2nd ed. · Zbl 0011.01703 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.